Atkin-Lehner |
2- 5+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950bd |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
167375000 = 23 · 56 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2663,51781] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-12:1] |
Generators of the group modulo torsion |
j |
133667977897/10712 |
j-invariant |
L |
14.761397815426 |
L(r)(E,1)/r! |
Ω |
1.7282853224194 |
Real period |
R |
1.4235108851917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2678b1 |
Quadratic twists by: 5 |